where RS=6y+3 ​, ST=3y+5​, and 44 . a. What is the value of​ y? b. Find RS and ST

Question

Use the number line​ below, where

RS=6y+3​,

ST=3y+5​,

and

RT=44.

a. What is the value of​ y?

b. Find RS and ST.

Answer 1

Hi Destiny R.

If S is some point that lies between R and T, then addition RS and ST should equal RT

y = 4, RS = 27, ST = 17

RS = 6y + 3

ST = 3y + 5

RT = 44

RS + ST = RT

6y + 3 + 3y + 5 = 44

9y + 8 = 44

Combine like terms

9y = 44 - 8

Subtract 8 from both sides of the equation

9y = 36

Divide both sides of the equation by 9

y = 36/9

y = 4

Now substitute the y value in the original equation to find RS and ST

I got 27 and 17 respectively